In message <[EMAIL PROTECTED]>,
    Greg Bacon writes:

: Enumerating the possible operator layouts:
: 
:   - # # o # o # o
:   - # # o # # o o
:   - # # # o o # o
:   - # # # # o o o
: 
: where '#' represents a number and 'o' an operator.

D'oh!  Forgot one:

    - # # # o # o o

: A little combinatorics:
: 
:     4!   # positions for numbers
:     4    # number of operations
:   x 4    # number of operator layouts
:   ---
:   384    # size of search space

That's bad too. :-(

      4!   # permute the numbers
      64   # i.e.., 4**3--choose the operators
      3!   # permute the operators
   x   5   # choose an operator layout
   -----
   46080   # size of search space

Greg

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